Supersymmetric gaps of a numerical semigroup with two generators
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866913652298219520 |
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| author | Almirón, Patricio Moyano-Fernández, Julio José |
| author_facet | Almirón, Patricio Moyano-Fernández, Julio José |
| contents | In this paper we introduce the new concepts of supersymmetric and self-symmetric gaps of a numerical semigroup with two generators. Those concepts are based on certain symmetries of the gaps of the semigroup with respect to their Wilf number. We prove that the set of supersymmetric and self-symmetric gaps completely determines the semigroup and we compare this set with the fundamental gaps of the semigroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_01690 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Supersymmetric gaps of a numerical semigroup with two generators Almirón, Patricio Moyano-Fernández, Julio José Combinatorics Commutative Algebra Primary: 20M14, Secondary: 05A19, 20M30 In this paper we introduce the new concepts of supersymmetric and self-symmetric gaps of a numerical semigroup with two generators. Those concepts are based on certain symmetries of the gaps of the semigroup with respect to their Wilf number. We prove that the set of supersymmetric and self-symmetric gaps completely determines the semigroup and we compare this set with the fundamental gaps of the semigroup. |
| title | Supersymmetric gaps of a numerical semigroup with two generators |
| topic | Combinatorics Commutative Algebra Primary: 20M14, Secondary: 05A19, 20M30 |
| url | https://arxiv.org/abs/2011.01690 |